[{"day":"19","issue":"3","publication":"Nature Physics","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","publisher":"Springer Nature","title":"A kicked quasicrystal","oa_version":"None","volume":20,"scopus_import":"1","article_type":"letter_note","month":"01","publication_identifier":{"issn":["1745-2473"],"eissn":["1745-2481"]},"doi":"10.1038/s41567-023-02357-0","author":[{"id":"b75b3f45-7995-11ef-9bfd-9a9cd02c3577","first_name":"Julian","last_name":"Leonard","orcid":"0000-0003-3696-6870","full_name":"Leonard, Julian"}],"publication_status":"published","citation":{"ieee":"J. Leonard, “A kicked quasicrystal,” <i>Nature Physics</i>, vol. 20, no. 3. Springer Nature, pp. 351–352, 2024.","short":"J. Leonard, Nature Physics 20 (2024) 351–352.","mla":"Leonard, Julian. “A Kicked Quasicrystal.” <i>Nature Physics</i>, vol. 20, no. 3, Springer Nature, 2024, pp. 351–52, doi:<a href=\"https://doi.org/10.1038/s41567-023-02357-0\">10.1038/s41567-023-02357-0</a>.","ista":"Leonard J. 2024. A kicked quasicrystal. Nature Physics. 20(3), 351–352.","apa":"Leonard, J. (2024). A kicked quasicrystal. <i>Nature Physics</i>. Springer Nature. <a href=\"https://doi.org/10.1038/s41567-023-02357-0\">https://doi.org/10.1038/s41567-023-02357-0</a>","ama":"Leonard J. A kicked quasicrystal. <i>Nature Physics</i>. 2024;20(3):351-352. doi:<a href=\"https://doi.org/10.1038/s41567-023-02357-0\">10.1038/s41567-023-02357-0</a>","chicago":"Leonard, Julian. “A Kicked Quasicrystal.” <i>Nature Physics</i>. Springer Nature, 2024. <a href=\"https://doi.org/10.1038/s41567-023-02357-0\">https://doi.org/10.1038/s41567-023-02357-0</a>."},"article_processing_charge":"No","language":[{"iso":"eng"}],"year":"2024","date_created":"2024-10-07T11:45:17Z","date_published":"2024-01-19T00:00:00Z","type":"journal_article","date_updated":"2024-10-14T07:54:20Z","intvolume":"        20","quality_controlled":"1","_id":"18187","status":"public","page":"351-352","abstract":[{"text":"Quasicrystals are ordered but not periodic, which makes them fascinating objects at the interface between order and disorder. Experiments with ultracold atoms zoom in on this interface by driving a quasicrystal and exploring its fractal properties.","lang":"eng"}],"extern":"1"},{"_id":"18188","type":"journal_article","intvolume":"         8","date_updated":"2024-10-08T11:15:55Z","publication_status":"published","language":[{"iso":"eng"}],"citation":{"apa":"Blatz, T., Kwan, J., Leonard, J., &#38; Bohrdt, A. (2024). Bayesian optimization for robust state preparation in quantum many-body systems. <i>Quantum</i>. Verein zur Förderung des Open Access Publizierens in den Quantenwissenschaften. <a href=\"https://doi.org/10.22331/q-2024-06-27-1388\">https://doi.org/10.22331/q-2024-06-27-1388</a>","chicago":"Blatz, Tizian, Joyce Kwan, Julian Leonard, and Annabelle Bohrdt. “Bayesian Optimization for Robust State Preparation in Quantum Many-Body Systems.” <i>Quantum</i>. Verein zur Förderung des Open Access Publizierens in den Quantenwissenschaften, 2024. <a href=\"https://doi.org/10.22331/q-2024-06-27-1388\">https://doi.org/10.22331/q-2024-06-27-1388</a>.","ama":"Blatz T, Kwan J, Leonard J, Bohrdt A. Bayesian optimization for robust state preparation in quantum many-body systems. <i>Quantum</i>. 2024;8. doi:<a href=\"https://doi.org/10.22331/q-2024-06-27-1388\">10.22331/q-2024-06-27-1388</a>","mla":"Blatz, Tizian, et al. “Bayesian Optimization for Robust State Preparation in Quantum Many-Body Systems.” <i>Quantum</i>, vol. 8, 1388, Verein zur Förderung des Open Access Publizierens in den Quantenwissenschaften, 2024, doi:<a href=\"https://doi.org/10.22331/q-2024-06-27-1388\">10.22331/q-2024-06-27-1388</a>.","ista":"Blatz T, Kwan J, Leonard J, Bohrdt A. 2024. Bayesian optimization for robust state preparation in quantum many-body systems. Quantum. 8, 1388.","short":"T. Blatz, J. Kwan, J. Leonard, A. Bohrdt, Quantum 8 (2024).","ieee":"T. Blatz, J. Kwan, J. Leonard, and A. Bohrdt, “Bayesian optimization for robust state preparation in quantum many-body systems,” <i>Quantum</i>, vol. 8. Verein zur Förderung des Open Access Publizierens in den Quantenwissenschaften, 2024."},"article_processing_charge":"Yes","year":"2024","date_created":"2024-10-07T11:45:56Z","date_published":"2024-06-27T00:00:00Z","publication_identifier":{"issn":["2521-327X"]},"title":"Bayesian optimization for robust state preparation in quantum many-body systems","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","external_id":{"arxiv":["2312.09253"]},"main_file_link":[{"open_access":"1","url":"https://doi.org/10.22331/q-2024-06-27-1388"}],"abstract":[{"lang":"eng","text":"New generations of ultracold-atom experiments are continually raising the demand for efficient solutions to optimal control problems. Here, we apply Bayesian optimization to improve a state-preparation protocol recently implemented in an ultracold-atom system to realize a two-particle fractional quantum Hall state. Compared to manual ramp design, we demonstrate the superior performance of our optimization approach in a numerical simulation – resulting in a protocol that is 10x faster at the same fidelity, even when taking into account experimentally realistic levels of disorder in the system. We extensively analyze and discuss questions of robustness and the relationship between numerical simulation and experimental realization, and how to make the best use of the surrogate model trained during optimization. We find that numerical simulation can be expected to substantially reduce the number of experiments that need to be performed with even the most basic transfer learning techniques. The proposed protocol and workflow will pave the way toward the realization of more complex many-body quantum states in experiments."}],"article_number":"1388","extern":"1","status":"public","quality_controlled":"1","month":"06","doi":"10.22331/q-2024-06-27-1388","author":[{"first_name":"Tizian","last_name":"Blatz","full_name":"Blatz, Tizian"},{"full_name":"Kwan, Joyce","first_name":"Joyce","last_name":"Kwan"},{"id":"b75b3f45-7995-11ef-9bfd-9a9cd02c3577","first_name":"Julian","last_name":"Leonard","full_name":"Leonard, Julian"},{"first_name":"Annabelle","last_name":"Bohrdt","full_name":"Bohrdt, Annabelle"}],"oa_version":"Published Version","article_type":"original","volume":8,"scopus_import":"1","publisher":"Verein zur Förderung des Open Access Publizierens in den Quantenwissenschaften","arxiv":1,"oa":1,"day":"27","publication":"Quantum"},{"month":"04","doi":"10.48550/arXiv.2404.07481","author":[{"first_name":"Sooshin","last_name":"Kim","full_name":"Kim, Sooshin"},{"full_name":"Lukin, Alexander","last_name":"Lukin","first_name":"Alexander"},{"full_name":"Rispoli, Matthew","first_name":"Matthew","last_name":"Rispoli"},{"full_name":"Tai, M. Eric","last_name":"Tai","first_name":"M. Eric"},{"first_name":"Adam M.","last_name":"Kaufman","full_name":"Kaufman, Adam M."},{"last_name":"Segura","first_name":"Perrin","full_name":"Segura, Perrin"},{"first_name":"Yanfei","last_name":"Li","full_name":"Li, Yanfei"},{"last_name":"Kwan","first_name":"Joyce","full_name":"Kwan, Joyce"},{"full_name":"Leonard, Julian","id":"b75b3f45-7995-11ef-9bfd-9a9cd02c3577","first_name":"Julian","last_name":"Leonard"},{"last_name":"Brice Bakkali-Hassani","first_name":"Brice Bakkali-Hassani","full_name":"Brice Bakkali-Hassani, Brice Bakkali-Hassani"},{"last_name":"Greiner","first_name":"Markus","full_name":"Greiner, Markus"}],"oa_version":"Preprint","title":"Adiabatic state preparation in a quantum Ising spin chain","external_id":{"arxiv":["2404.07481"]},"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","arxiv":1,"publication":"arXiv","day":"11","oa":1,"abstract":[{"lang":"eng","text":"We report on adiabatic state preparation in the one-dimensional quantum Ising\r\nmodel using ultracold bosons in a tilted optical lattice. We prepare many-body\r\nground states of controllable system sizes and observe enhanced fluctuations\r\naround the transition between paramagnetic and antiferromagnetic states,\r\nmarking the precursor of quantum critical behavior. Furthermore, we find\r\nevidence for superpositions of domain walls and study their effect on the\r\nmany-body ground state by measuring the populations of each spin configuration\r\nacross the transition. These results shed new light on the effect of boundary\r\nconditions in finite-size quantum systems."}],"article_number":"2404.07481","main_file_link":[{"url":"https://doi.org/10.48550/arXiv.2404.07481","open_access":"1"}],"extern":"1","_id":"18202","status":"public","date_updated":"2024-10-08T11:28:26Z","type":"preprint","article_processing_charge":"No","language":[{"iso":"eng"}],"citation":{"chicago":"Kim, Sooshin, Alexander Lukin, Matthew Rispoli, M. Eric Tai, Adam M. Kaufman, Perrin Segura, Yanfei Li, et al. “Adiabatic State Preparation in a Quantum Ising Spin Chain.” <i>ArXiv</i>, n.d. <a href=\"https://doi.org/10.48550/arXiv.2404.07481\">https://doi.org/10.48550/arXiv.2404.07481</a>.","ama":"Kim S, Lukin A, Rispoli M, et al. Adiabatic state preparation in a quantum Ising spin chain. <i>arXiv</i>. doi:<a href=\"https://doi.org/10.48550/arXiv.2404.07481\">10.48550/arXiv.2404.07481</a>","apa":"Kim, S., Lukin, A., Rispoli, M., Tai, M. E., Kaufman, A. M., Segura, P., … Greiner, M. (n.d.). Adiabatic state preparation in a quantum Ising spin chain. <i>arXiv</i>. <a href=\"https://doi.org/10.48550/arXiv.2404.07481\">https://doi.org/10.48550/arXiv.2404.07481</a>","ista":"Kim S, Lukin A, Rispoli M, Tai ME, Kaufman AM, Segura P, Li Y, Kwan J, Leonard J, Brice Bakkali-Hassani BB-H, Greiner M. Adiabatic state preparation in a quantum Ising spin chain. arXiv, 2404.07481.","mla":"Kim, Sooshin, et al. “Adiabatic State Preparation in a Quantum Ising Spin Chain.” <i>ArXiv</i>, 2404.07481, doi:<a href=\"https://doi.org/10.48550/arXiv.2404.07481\">10.48550/arXiv.2404.07481</a>.","short":"S. Kim, A. Lukin, M. Rispoli, M.E. Tai, A.M. Kaufman, P. Segura, Y. Li, J. Kwan, J. Leonard, B.B.-H. Brice Bakkali-Hassani, M. Greiner, ArXiv (n.d.).","ieee":"S. Kim <i>et al.</i>, “Adiabatic state preparation in a quantum Ising spin chain,” <i>arXiv</i>. ."},"publication_status":"submitted","date_published":"2024-04-11T00:00:00Z","year":"2024","date_created":"2024-10-08T11:25:52Z"},{"issue":"7970","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","external_id":{"pmid":["37344594 "],"arxiv":["2210.10919"]},"title":"Realization of a fractional quantum Hall state with ultracold atoms","publication_identifier":{"eissn":["1476-4687"],"issn":["0028-0836"]},"date_created":"2024-10-07T11:46:13Z","year":"2023","date_published":"2023-06-21T00:00:00Z","publication_status":"published","language":[{"iso":"eng"}],"article_processing_charge":"No","citation":{"ista":"Leonard J, Kim S, Kwan J, Segura P, Grusdt F, Repellin C, Goldman N, Greiner M. 2023. Realization of a fractional quantum Hall state with ultracold atoms. Nature. 619(7970), 495–499.","mla":"Leonard, Julian, et al. “Realization of a Fractional Quantum Hall State with Ultracold Atoms.” <i>Nature</i>, vol. 619, no. 7970, Springer Nature, 2023, pp. 495–99, doi:<a href=\"https://doi.org/10.1038/s41586-023-06122-4\">10.1038/s41586-023-06122-4</a>.","ama":"Leonard J, Kim S, Kwan J, et al. Realization of a fractional quantum Hall state with ultracold atoms. <i>Nature</i>. 2023;619(7970):495-499. doi:<a href=\"https://doi.org/10.1038/s41586-023-06122-4\">10.1038/s41586-023-06122-4</a>","chicago":"Leonard, Julian, Sooshin Kim, Joyce Kwan, Perrin Segura, Fabian Grusdt, Cécile Repellin, Nathan Goldman, and Markus Greiner. “Realization of a Fractional Quantum Hall State with Ultracold Atoms.” <i>Nature</i>. Springer Nature, 2023. <a href=\"https://doi.org/10.1038/s41586-023-06122-4\">https://doi.org/10.1038/s41586-023-06122-4</a>.","apa":"Leonard, J., Kim, S., Kwan, J., Segura, P., Grusdt, F., Repellin, C., … Greiner, M. (2023). Realization of a fractional quantum Hall state with ultracold atoms. <i>Nature</i>. Springer Nature. <a href=\"https://doi.org/10.1038/s41586-023-06122-4\">https://doi.org/10.1038/s41586-023-06122-4</a>","ieee":"J. Leonard <i>et al.</i>, “Realization of a fractional quantum Hall state with ultracold atoms,” <i>Nature</i>, vol. 619, no. 7970. Springer Nature, pp. 495–499, 2023.","short":"J. Leonard, S. Kim, J. Kwan, P. Segura, F. Grusdt, C. Repellin, N. Goldman, M. Greiner, Nature 619 (2023) 495–499."},"type":"journal_article","intvolume":"       619","date_updated":"2024-10-08T11:09:24Z","page":"495-499","_id":"18189","oa":1,"day":"21","publication":"Nature","arxiv":1,"publisher":"Springer Nature","volume":619,"article_type":"original","scopus_import":"1","pmid":1,"oa_version":"Preprint","author":[{"first_name":"Julian","id":"b75b3f45-7995-11ef-9bfd-9a9cd02c3577","last_name":"Leonard","full_name":"Leonard, Julian"},{"first_name":"Sooshin","last_name":"Kim","full_name":"Kim, Sooshin"},{"last_name":"Kwan","first_name":"Joyce","full_name":"Kwan, Joyce"},{"full_name":"Segura, Perrin","last_name":"Segura","first_name":"Perrin"},{"full_name":"Grusdt, Fabian","last_name":"Grusdt","first_name":"Fabian"},{"full_name":"Repellin, Cécile","first_name":"Cécile","last_name":"Repellin"},{"last_name":"Goldman","first_name":"Nathan","full_name":"Goldman, Nathan"},{"first_name":"Markus","last_name":"Greiner","full_name":"Greiner, Markus"}],"doi":"10.1038/s41586-023-06122-4","month":"06","quality_controlled":"1","status":"public","extern":"1","main_file_link":[{"url":"https://doi.org/10.48550/arXiv.2210.10919","open_access":"1"}],"abstract":[{"lang":"eng","text":"Strongly interacting topological matter1 exhibits fundamentally new phenomena with potential applications in quantum information technology2,3. Emblematic instances are fractional quantum Hall (FQH) states4, in which the interplay of a magnetic field and strong interactions gives rise to fractionally charged quasi-particles, long-ranged entanglement and anyonic exchange statistics. Progress in engineering synthetic magnetic fields5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21 has raised the hope to create these exotic states in controlled quantum systems. However, except for a recent Laughlin state of light22, preparing FQH states in engineered systems remains elusive. Here we realize a FQH state with ultracold atoms in an optical lattice. The state is a lattice version of a bosonic ν = 1/2 Laughlin state4,23 with two particles on 16 sites. This minimal system already captures many hallmark features of Laughlin-type FQH states24,25,26,27,28: we observe a suppression of two-body interactions, we find a distinctive vortex structure in the density correlations and we measure a fractional Hall conductivity of σH/σ0 = 0.6(2) by means of the bulk response to a magnetic perturbation. Furthermore, by tuning the magnetic field, we map out the transition point between the normal and the FQH regime through a spectroscopic investigation of the many-body gap. Our work provides a starting point for exploring highly entangled topological matter with ultracold atoms29,30,31,32,33."}]},{"oa_version":"Preprint","scopus_import":"1","volume":19,"article_type":"letter_note","month":"01","author":[{"full_name":"Leonard, Julian","id":"b75b3f45-7995-11ef-9bfd-9a9cd02c3577","first_name":"Julian","last_name":"Leonard"},{"full_name":"Kim, Sooshin","last_name":"Kim","first_name":"Sooshin"},{"full_name":"Rispoli, Matthew","first_name":"Matthew","last_name":"Rispoli"},{"full_name":"Lukin, Alexander","last_name":"Lukin","first_name":"Alexander"},{"full_name":"Schittko, Robert","first_name":"Robert","last_name":"Schittko"},{"first_name":"Joyce","last_name":"Kwan","full_name":"Kwan, Joyce"},{"last_name":"Demler","first_name":"Eugene","full_name":"Demler, Eugene"},{"full_name":"Sels, Dries","last_name":"Sels","first_name":"Dries"},{"last_name":"Greiner","first_name":"Markus","full_name":"Greiner, Markus"}],"doi":"10.1038/s41567-022-01887-3","arxiv":1,"day":"26","oa":1,"publication":"Nature Physics","publisher":"Springer Nature","status":"public","main_file_link":[{"open_access":"1","url":"https://doi.org/10.48550/arXiv.2012.15270"}],"abstract":[{"lang":"eng","text":"Strongly correlated systems can exhibit unexpected phenomena when brought in a state far from equilibrium. An example is many-body localization, which prevents generic interacting systems from reaching thermal equilibrium even at long times1,2. The stability of the many-body localized phase has been predicted to be hindered by the presence of small thermal inclusions that act as a bath, leading to the delocalization of the entire system through an avalanche propagation mechanism3,4,5,6,7,8. Here we study the dynamics of a thermal inclusion of variable size when it is coupled to a many-body localized system. We find evidence for accelerated transport of thermal inclusion into the localized region. We monitor how the avalanche spreads through the localized system and thermalizes it site by site by measuring the site-resolved entropy over time. Furthermore, we isolate the strongly correlated bath-induced dynamics with multipoint correlations between the bath and the system. Our results have implications on the robustness of many-body localized systems and their critical behaviour."}],"extern":"1","quality_controlled":"1","title":"Probing the onset of quantum avalanches in a many-body localized system","publication_identifier":{"issn":["1745-2473"],"eissn":["1745-2481"]},"issue":"4","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","external_id":{"arxiv":["2012.15270"]},"_id":"18190","page":"481-485","publication_status":"published","article_processing_charge":"No","citation":{"short":"J. Leonard, S. Kim, M. Rispoli, A. Lukin, R. Schittko, J. Kwan, E. Demler, D. Sels, M. Greiner, Nature Physics 19 (2023) 481–485.","ieee":"J. Leonard <i>et al.</i>, “Probing the onset of quantum avalanches in a many-body localized system,” <i>Nature Physics</i>, vol. 19, no. 4. Springer Nature, pp. 481–485, 2023.","apa":"Leonard, J., Kim, S., Rispoli, M., Lukin, A., Schittko, R., Kwan, J., … Greiner, M. (2023). Probing the onset of quantum avalanches in a many-body localized system. <i>Nature Physics</i>. Springer Nature. <a href=\"https://doi.org/10.1038/s41567-022-01887-3\">https://doi.org/10.1038/s41567-022-01887-3</a>","chicago":"Leonard, Julian, Sooshin Kim, Matthew Rispoli, Alexander Lukin, Robert Schittko, Joyce Kwan, Eugene Demler, Dries Sels, and Markus Greiner. “Probing the Onset of Quantum Avalanches in a Many-Body Localized System.” <i>Nature Physics</i>. Springer Nature, 2023. <a href=\"https://doi.org/10.1038/s41567-022-01887-3\">https://doi.org/10.1038/s41567-022-01887-3</a>.","ama":"Leonard J, Kim S, Rispoli M, et al. Probing the onset of quantum avalanches in a many-body localized system. <i>Nature Physics</i>. 2023;19(4):481-485. doi:<a href=\"https://doi.org/10.1038/s41567-022-01887-3\">10.1038/s41567-022-01887-3</a>","mla":"Leonard, Julian, et al. “Probing the Onset of Quantum Avalanches in a Many-Body Localized System.” <i>Nature Physics</i>, vol. 19, no. 4, Springer Nature, 2023, pp. 481–85, doi:<a href=\"https://doi.org/10.1038/s41567-022-01887-3\">10.1038/s41567-022-01887-3</a>.","ista":"Leonard J, Kim S, Rispoli M, Lukin A, Schittko R, Kwan J, Demler E, Sels D, Greiner M. 2023. Probing the onset of quantum avalanches in a many-body localized system. Nature Physics. 19(4), 481–485."},"language":[{"iso":"eng"}],"year":"2023","date_created":"2024-10-07T11:46:33Z","date_published":"2023-01-26T00:00:00Z","type":"journal_article","date_updated":"2024-10-08T10:52:08Z","intvolume":"        19"},{"quality_controlled":"1","status":"public","extern":"1","article_number":"023302","main_file_link":[{"url":"https://doi.org/10.48550/arXiv.2103.01240","open_access":"1"}],"abstract":[{"lang":"eng","text":"Large-scale quantum devices provide insights beyond the reach of classical simulations. However, for a reliable and verifiable quantum simulation, the building blocks of the quantum device require exquisite benchmarking. This benchmarking of large-scale dynamical quantum systems represents a major challenge due to lack of efficient tools for their simulation. Here, we present a scalable algorithm based on neural networks for Hamiltonian tomography in out-of-equilibrium quantum systems. We illustrate our approach using a model for a forefront quantum simulation platform: ultracold atoms in optical lattices. Specifically, we show that our algorithm is able to reconstruct the Hamiltonian of an arbitrary sized bosonic ladder system using an accessible amount of experimental measurements. We are able to significantly increase the previously known parameter precision."}],"day":"01","oa":1,"publication":"Physical Review A","arxiv":1,"publisher":"American Physical Society","article_type":"original","volume":105,"scopus_import":"1","oa_version":"Preprint","doi":"10.1103/physreva.105.023302","author":[{"full_name":"Valenti, Agnes","first_name":"Agnes","last_name":"Valenti"},{"full_name":"Jin, Guliuxin","last_name":"Jin","first_name":"Guliuxin"},{"full_name":"Leonard, Julian","last_name":"Leonard","first_name":"Julian","id":"b75b3f45-7995-11ef-9bfd-9a9cd02c3577"},{"first_name":"Sebastian D.","last_name":"Huber","full_name":"Huber, Sebastian D."},{"last_name":"Greplova","first_name":"Eliska","full_name":"Greplova, Eliska"}],"month":"02","date_created":"2024-10-07T11:46:53Z","year":"2022","date_published":"2022-02-01T00:00:00Z","publication_status":"published","citation":{"ieee":"A. Valenti, G. Jin, J. Leonard, S. D. Huber, and E. Greplova, “Scalable Hamiltonian learning for large-scale out-of-equilibrium quantum dynamics,” <i>Physical Review A</i>, vol. 105, no. 2. American Physical Society, 2022.","short":"A. Valenti, G. Jin, J. Leonard, S.D. Huber, E. Greplova, Physical Review A 105 (2022).","ista":"Valenti A, Jin G, Leonard J, Huber SD, Greplova E. 2022. Scalable Hamiltonian learning for large-scale out-of-equilibrium quantum dynamics. Physical Review A. 105(2), 023302.","mla":"Valenti, Agnes, et al. “Scalable Hamiltonian Learning for Large-Scale out-of-Equilibrium Quantum Dynamics.” <i>Physical Review A</i>, vol. 105, no. 2, 023302, American Physical Society, 2022, doi:<a href=\"https://doi.org/10.1103/physreva.105.023302\">10.1103/physreva.105.023302</a>.","ama":"Valenti A, Jin G, Leonard J, Huber SD, Greplova E. Scalable Hamiltonian learning for large-scale out-of-equilibrium quantum dynamics. <i>Physical Review A</i>. 2022;105(2). doi:<a href=\"https://doi.org/10.1103/physreva.105.023302\">10.1103/physreva.105.023302</a>","chicago":"Valenti, Agnes, Guliuxin Jin, Julian Leonard, Sebastian D. Huber, and Eliska Greplova. “Scalable Hamiltonian Learning for Large-Scale out-of-Equilibrium Quantum Dynamics.” <i>Physical Review A</i>. American Physical Society, 2022. <a href=\"https://doi.org/10.1103/physreva.105.023302\">https://doi.org/10.1103/physreva.105.023302</a>.","apa":"Valenti, A., Jin, G., Leonard, J., Huber, S. D., &#38; Greplova, E. (2022). Scalable Hamiltonian learning for large-scale out-of-equilibrium quantum dynamics. <i>Physical Review A</i>. American Physical Society. <a href=\"https://doi.org/10.1103/physreva.105.023302\">https://doi.org/10.1103/physreva.105.023302</a>"},"article_processing_charge":"No","language":[{"iso":"eng"}],"type":"journal_article","intvolume":"       105","date_updated":"2024-10-08T10:00:23Z","_id":"18191","issue":"2","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","external_id":{"arxiv":["2103.01240"]},"title":"Scalable Hamiltonian learning for large-scale out-of-equilibrium quantum dynamics","publication_identifier":{"issn":["2469-9926"],"eissn":["2469-9934"]}},{"quality_controlled":"1","status":"public","article_number":"150504","abstract":[{"lang":"eng","text":"Current quantum simulation experiments are starting to explore nonequilibrium many-body dynamics in previously inaccessible regimes in terms of system sizes and timescales. Therefore, the question emerges as to which observables are best suited to study the dynamics in such quantum many-body systems. Using machine learning techniques, we investigate the dynamics and, in particular, the thermalization behavior of an interacting quantum system that undergoes a nonequilibrium phase transition from an ergodic to a many-body localized phase. We employ supervised and unsupervised training methods to distinguish nonequilibrium from equilibrium data, using the network performance as a probe for the thermalization behavior of the system. We test our methods with experimental snapshots of ultracold atoms taken with a quantum gas microscope. Our results provide a path to analyze highly entangled large-scale quantum states for system sizes where numerical calculations of conventional observables become challenging."}],"main_file_link":[{"open_access":"1","url":"https://doi.org/10.48550/arXiv.2012.11586"}],"extern":"1","arxiv":1,"day":"08","oa":1,"publication":"Physical Review Letters","publisher":"American Physical Society","oa_version":"Preprint","volume":127,"scopus_import":"1","article_type":"original","month":"10","author":[{"full_name":"Bohrdt, A.","first_name":"A.","last_name":"Bohrdt"},{"last_name":"Kim","first_name":"S.","full_name":"Kim, S."},{"first_name":"A.","last_name":"Lukin","full_name":"Lukin, A."},{"full_name":"Rispoli, M.","first_name":"M.","last_name":"Rispoli"},{"first_name":"R.","last_name":"Schittko","full_name":"Schittko, R."},{"first_name":"M.","last_name":"Knap","full_name":"Knap, M."},{"full_name":"Greiner, M.","first_name":"M.","last_name":"Greiner"},{"full_name":"Leonard, Julian","first_name":"Julian","id":"b75b3f45-7995-11ef-9bfd-9a9cd02c3577","last_name":"Leonard"}],"doi":"10.1103/physrevlett.127.150504","publication_status":"published","language":[{"iso":"eng"}],"citation":{"ista":"Bohrdt A, Kim S, Lukin A, Rispoli M, Schittko R, Knap M, Greiner M, Leonard J. 2021. Analyzing nonequilibrium quantum states through snapshots with artificial neural networks. Physical Review Letters. 127(15), 150504.","mla":"Bohrdt, A., et al. “Analyzing Nonequilibrium Quantum States through Snapshots with Artificial Neural Networks.” <i>Physical Review Letters</i>, vol. 127, no. 15, 150504, American Physical Society, 2021, doi:<a href=\"https://doi.org/10.1103/physrevlett.127.150504\">10.1103/physrevlett.127.150504</a>.","chicago":"Bohrdt, A., S. Kim, A. Lukin, M. Rispoli, R. Schittko, M. Knap, M. Greiner, and Julian Leonard. “Analyzing Nonequilibrium Quantum States through Snapshots with Artificial Neural Networks.” <i>Physical Review Letters</i>. American Physical Society, 2021. <a href=\"https://doi.org/10.1103/physrevlett.127.150504\">https://doi.org/10.1103/physrevlett.127.150504</a>.","ama":"Bohrdt A, Kim S, Lukin A, et al. Analyzing nonequilibrium quantum states through snapshots with artificial neural networks. <i>Physical Review Letters</i>. 2021;127(15). doi:<a href=\"https://doi.org/10.1103/physrevlett.127.150504\">10.1103/physrevlett.127.150504</a>","apa":"Bohrdt, A., Kim, S., Lukin, A., Rispoli, M., Schittko, R., Knap, M., … Leonard, J. (2021). Analyzing nonequilibrium quantum states through snapshots with artificial neural networks. <i>Physical Review Letters</i>. American Physical Society. <a href=\"https://doi.org/10.1103/physrevlett.127.150504\">https://doi.org/10.1103/physrevlett.127.150504</a>","ieee":"A. Bohrdt <i>et al.</i>, “Analyzing nonequilibrium quantum states through snapshots with artificial neural networks,” <i>Physical Review Letters</i>, vol. 127, no. 15. American Physical Society, 2021.","short":"A. Bohrdt, S. Kim, A. Lukin, M. Rispoli, R. Schittko, M. Knap, M. Greiner, J. Leonard, Physical Review Letters 127 (2021)."},"article_processing_charge":"No","date_created":"2024-10-07T11:47:11Z","year":"2021","date_published":"2021-10-08T00:00:00Z","type":"journal_article","date_updated":"2024-10-08T09:58:03Z","intvolume":"       127","_id":"18192","issue":"15","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","external_id":{"arxiv":["2012.11586"]},"title":"Analyzing nonequilibrium quantum states through snapshots with artificial neural networks","publication_identifier":{"issn":["0031-9007","1079-7114"]}},{"extern":"1","main_file_link":[{"url":"https://doi.org/10.48550/arXiv.2011.02477","open_access":"1"}],"article_number":"L161101","abstract":[{"lang":"eng","text":"Topological states of matter, such as fractional quantum Hall states, are an active field of research due to their exotic excitations. In particular, ultracold atoms in optical lattices provide a highly controllable and adaptable platform to study such new types of quantum matter. However, finding a clear route to realize non-Abelian quantum Hall states in these systems remains challenging. Here we use the density-matrix renormalization-group (DMRG) method to study the Hofstadter-Bose-Hubbard model at filling factor 𝜈=1 and find strong indications that at 𝛼=1/6 magnetic flux quanta per plaquette the ground state is a lattice analog of the continuum non-Abelian Pfaffian. We study the on-site correlations of the ground state, which indicate its paired nature at 𝜈=1, and find an incompressible state characterized by a charge gap in the bulk. We argue that the emergence of a charge density wave on thin cylinders and the behavior of the two- and three-particle correlation functions at short distances provide evidence for the state being closely related to the continuum Pfaffian. The signatures discussed in this letter are accessible in current cold atom experiments and we show that the Pfaffian-like state is readily realizable in few-body systems using adiabatic preparation schemes."}],"status":"public","quality_controlled":"1","doi":"10.1103/physrevb.103.l161101","author":[{"first_name":"F. A.","last_name":"Palm","full_name":"Palm, F. A."},{"first_name":"M.","last_name":"Buser","full_name":"Buser, M."},{"last_name":"Leonard","first_name":"Julian","id":"b75b3f45-7995-11ef-9bfd-9a9cd02c3577","full_name":"Leonard, Julian"},{"first_name":"M.","last_name":"Aidelsburger","full_name":"Aidelsburger, M."},{"full_name":"Schollwöck, U.","first_name":"U.","last_name":"Schollwöck"},{"full_name":"Grusdt, F.","first_name":"F.","last_name":"Grusdt"}],"month":"04","scopus_import":"1","volume":103,"article_type":"letter_note","oa_version":"Preprint","publisher":"American Physical Society","day":"15","oa":1,"publication":"Physical Review B","arxiv":1,"_id":"18193","type":"journal_article","date_updated":"2024-10-08T09:55:46Z","intvolume":"       103","date_created":"2024-10-07T11:47:51Z","year":"2021","date_published":"2021-04-15T00:00:00Z","publication_status":"published","citation":{"ama":"Palm FA, Buser M, Leonard J, Aidelsburger M, Schollwöck U, Grusdt F. Bosonic Pfaffian state in the Hofstadter-Bose-Hubbard model. <i>Physical Review B</i>. 2021;103(16). doi:<a href=\"https://doi.org/10.1103/physrevb.103.l161101\">10.1103/physrevb.103.l161101</a>","chicago":"Palm, F. A., M. Buser, Julian Leonard, M. Aidelsburger, U. Schollwöck, and F. Grusdt. “Bosonic Pfaffian State in the Hofstadter-Bose-Hubbard Model.” <i>Physical Review B</i>. American Physical Society, 2021. <a href=\"https://doi.org/10.1103/physrevb.103.l161101\">https://doi.org/10.1103/physrevb.103.l161101</a>.","apa":"Palm, F. A., Buser, M., Leonard, J., Aidelsburger, M., Schollwöck, U., &#38; Grusdt, F. (2021). Bosonic Pfaffian state in the Hofstadter-Bose-Hubbard model. <i>Physical Review B</i>. American Physical Society. <a href=\"https://doi.org/10.1103/physrevb.103.l161101\">https://doi.org/10.1103/physrevb.103.l161101</a>","ista":"Palm FA, Buser M, Leonard J, Aidelsburger M, Schollwöck U, Grusdt F. 2021. Bosonic Pfaffian state in the Hofstadter-Bose-Hubbard model. Physical Review B. 103(16), L161101.","mla":"Palm, F. A., et al. “Bosonic Pfaffian State in the Hofstadter-Bose-Hubbard Model.” <i>Physical Review B</i>, vol. 103, no. 16, L161101, American Physical Society, 2021, doi:<a href=\"https://doi.org/10.1103/physrevb.103.l161101\">10.1103/physrevb.103.l161101</a>.","short":"F.A. Palm, M. Buser, J. Leonard, M. Aidelsburger, U. Schollwöck, F. Grusdt, Physical Review B 103 (2021).","ieee":"F. A. Palm, M. Buser, J. Leonard, M. Aidelsburger, U. Schollwöck, and F. Grusdt, “Bosonic Pfaffian state in the Hofstadter-Bose-Hubbard model,” <i>Physical Review B</i>, vol. 103, no. 16. American Physical Society, 2021."},"article_processing_charge":"No","language":[{"iso":"eng"}],"publication_identifier":{"issn":["2469-9950"],"eissn":["2469-9969"]},"title":"Bosonic Pfaffian state in the Hofstadter-Bose-Hubbard model","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","external_id":{"arxiv":["2011.02477"]},"issue":"16"},{"ddc":["530"],"quality_controlled":"1","extern":"1","abstract":[{"text":"Realizing strongly correlated topological phases of ultracold gases is a central goal for ongoing experiments. While fractional quantum Hall states could soon be implemented in small atomic ensembles, detecting their signatures in few-particle settings remains a fundamental challenge. In this work, we numerically analyze the center-of-mass Hall drift of a small ensemble of hardcore bosons, initially prepared in the ground state of the Harper-Hofstadter-Hubbard model in a box potential. By monitoring the Hall drift upon release, for a wide range of magnetic flux values, we identify an emergent Hall plateau compatible with a fractional Chern insulator state: The extracted Hall conductivity approaches a fractional value determined by the many-body Chern number, while the width of the plateau agrees with the spectral and topological properties of the prepared ground state. Besides, a direct application of Streda's formula indicates that such Hall plateaus can also be directly obtained from static density-profile measurements. Our calculations suggest that fractional Chern insulators can be detected in cold-atom experiments, using available detection methods.","lang":"eng"}],"article_number":"063316","main_file_link":[{"url":"https://doi.org/10.1103/PhysRevA.102.063316","open_access":"1"}],"status":"public","publisher":"American Physical Society","publication":"Physical Review A","day":"14","oa":1,"arxiv":1,"doi":"10.1103/physreva.102.063316","author":[{"full_name":"Repellin, C.","last_name":"Repellin","first_name":"C."},{"full_name":"Leonard, Julian","first_name":"Julian","id":"b75b3f45-7995-11ef-9bfd-9a9cd02c3577","last_name":"Leonard"},{"last_name":"Goldman","first_name":"N.","full_name":"Goldman, N."}],"month":"12","volume":102,"scopus_import":"1","article_type":"original","oa_version":"Published Version","date_updated":"2024-10-08T09:51:57Z","intvolume":"       102","type":"journal_article","date_published":"2020-12-14T00:00:00Z","year":"2020","date_created":"2024-10-07T11:48:07Z","article_processing_charge":"Yes (in subscription journal)","language":[{"iso":"eng"}],"citation":{"chicago":"Repellin, C., Julian Leonard, and N. Goldman. “Fractional Chern Insulators of Few Bosons in a Box: Hall Plateaus from Center-of-Mass Drifts and Density Profiles.” <i>Physical Review A</i>. American Physical Society, 2020. <a href=\"https://doi.org/10.1103/physreva.102.063316\">https://doi.org/10.1103/physreva.102.063316</a>.","ama":"Repellin C, Leonard J, Goldman N. Fractional Chern insulators of few bosons in a box: Hall plateaus from center-of-mass drifts and density profiles. <i>Physical Review A</i>. 2020;102(6). doi:<a href=\"https://doi.org/10.1103/physreva.102.063316\">10.1103/physreva.102.063316</a>","apa":"Repellin, C., Leonard, J., &#38; Goldman, N. (2020). Fractional Chern insulators of few bosons in a box: Hall plateaus from center-of-mass drifts and density profiles. <i>Physical Review A</i>. American Physical Society. <a href=\"https://doi.org/10.1103/physreva.102.063316\">https://doi.org/10.1103/physreva.102.063316</a>","ista":"Repellin C, Leonard J, Goldman N. 2020. Fractional Chern insulators of few bosons in a box: Hall plateaus from center-of-mass drifts and density profiles. Physical Review A. 102(6), 063316.","mla":"Repellin, C., et al. “Fractional Chern Insulators of Few Bosons in a Box: Hall Plateaus from Center-of-Mass Drifts and Density Profiles.” <i>Physical Review A</i>, vol. 102, no. 6, 063316, American Physical Society, 2020, doi:<a href=\"https://doi.org/10.1103/physreva.102.063316\">10.1103/physreva.102.063316</a>.","short":"C. Repellin, J. Leonard, N. Goldman, Physical Review A 102 (2020).","ieee":"C. Repellin, J. Leonard, and N. Goldman, “Fractional Chern insulators of few bosons in a box: Hall plateaus from center-of-mass drifts and density profiles,” <i>Physical Review A</i>, vol. 102, no. 6. American Physical Society, 2020."},"publication_status":"published","_id":"18194","external_id":{"arxiv":["2005.09689"]},"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","issue":"6","publication_identifier":{"eissn":["2469-9934"],"issn":["2469-9926"]},"tmp":{"short":"CC BY (4.0)","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode"},"has_accepted_license":"1","title":"Fractional Chern insulators of few bosons in a box: Hall plateaus from center-of-mass drifts and density profiles"},{"month":"09","author":[{"full_name":"Rispoli, Matthew","first_name":"Matthew","last_name":"Rispoli"},{"full_name":"Lukin, Alexander","last_name":"Lukin","first_name":"Alexander"},{"full_name":"Schittko, Robert","first_name":"Robert","last_name":"Schittko"},{"full_name":"Kim, Sooshin","first_name":"Sooshin","last_name":"Kim"},{"full_name":"Tai, M. Eric","first_name":"M. Eric","last_name":"Tai"},{"last_name":"Leonard","first_name":"Julian","id":"b75b3f45-7995-11ef-9bfd-9a9cd02c3577","full_name":"Leonard, Julian"},{"first_name":"Markus","last_name":"Greiner","full_name":"Greiner, Markus"}],"doi":"10.1038/s41586-019-1527-2","oa_version":"Preprint","pmid":1,"scopus_import":"1","article_type":"letter_note","volume":573,"publisher":"Springer Nature","arxiv":1,"publication":"Nature","day":"04","oa":1,"main_file_link":[{"open_access":"1","url":"https://doi.org/10.48550/arXiv.1812.06959"}],"abstract":[{"text":"Phase transitions are driven by collective fluctuations of a system’s constituents that emerge at a critical point1. This mechanism has been extensively explored for classical and quantum systems in equilibrium, whose critical behaviour is described by the general theory of phase transitions. Recently, however, fundamentally distinct phase transitions have been discovered for out-of-equilibrium quantum systems, which can exhibit critical behaviour that defies this description and is not well understood1. A paradigmatic example is the many-body localization (MBL) transition, which marks the breakdown of thermalization in an isolated quantum many-body system as its disorder increases beyond a critical value2,3,4,5,6,7,8,9,10,11. Characterizing quantum critical behaviour in an MBL system requires probing its entanglement over space and time4,5,7, which has proved experimentally challenging owing to stringent requirements on quantum state preparation and system isolation. Here we observe quantum critical behaviour at the MBL transition in a disordered Bose–Hubbard system and characterize its entanglement via its multi-point quantum correlations. We observe the emergence of strong correlations, accompanied by the onset of anomalous diffusive transport throughout the system, and verify their critical nature by measuring their dependence on the system size. The correlations extend to high orders in the quantum critical regime and appear to form via a sparse network of many-body resonances that spans the entire system12,13. Our results connect the macroscopic phenomenology of the transition to the system’s microscopic structure of quantum correlations, and they provide an essential step towards understanding criticality and universality in non-equilibrium systems1,7,13.","lang":"eng"}],"extern":"1","status":"public","quality_controlled":"1","publication_identifier":{"eissn":["1476-4687"],"issn":["0028-0836"]},"title":"Quantum critical behaviour at the many-body localization transition","external_id":{"arxiv":["1812.06959"],"pmid":["31485075"]},"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","issue":"7774","_id":"18195","page":"385-389","intvolume":"       573","date_updated":"2024-10-08T09:33:30Z","type":"journal_article","article_processing_charge":"No","language":[{"iso":"eng"}],"citation":{"short":"M. Rispoli, A. Lukin, R. Schittko, S. Kim, M.E. Tai, J. Leonard, M. Greiner, Nature 573 (2019) 385–389.","ieee":"M. Rispoli <i>et al.</i>, “Quantum critical behaviour at the many-body localization transition,” <i>Nature</i>, vol. 573, no. 7774. Springer Nature, pp. 385–389, 2019.","mla":"Rispoli, Matthew, et al. “Quantum Critical Behaviour at the Many-Body Localization Transition.” <i>Nature</i>, vol. 573, no. 7774, Springer Nature, 2019, pp. 385–89, doi:<a href=\"https://doi.org/10.1038/s41586-019-1527-2\">10.1038/s41586-019-1527-2</a>.","ista":"Rispoli M, Lukin A, Schittko R, Kim S, Tai ME, Leonard J, Greiner M. 2019. Quantum critical behaviour at the many-body localization transition. Nature. 573(7774), 385–389.","apa":"Rispoli, M., Lukin, A., Schittko, R., Kim, S., Tai, M. E., Leonard, J., &#38; Greiner, M. (2019). Quantum critical behaviour at the many-body localization transition. <i>Nature</i>. Springer Nature. <a href=\"https://doi.org/10.1038/s41586-019-1527-2\">https://doi.org/10.1038/s41586-019-1527-2</a>","chicago":"Rispoli, Matthew, Alexander Lukin, Robert Schittko, Sooshin Kim, M. Eric Tai, Julian Leonard, and Markus Greiner. “Quantum Critical Behaviour at the Many-Body Localization Transition.” <i>Nature</i>. Springer Nature, 2019. <a href=\"https://doi.org/10.1038/s41586-019-1527-2\">https://doi.org/10.1038/s41586-019-1527-2</a>.","ama":"Rispoli M, Lukin A, Schittko R, et al. Quantum critical behaviour at the many-body localization transition. <i>Nature</i>. 2019;573(7774):385-389. doi:<a href=\"https://doi.org/10.1038/s41586-019-1527-2\">10.1038/s41586-019-1527-2</a>"},"publication_status":"published","date_published":"2019-09-04T00:00:00Z","year":"2019","date_created":"2024-10-07T11:48:26Z"},{"date_published":"2019-04-19T00:00:00Z","year":"2019","date_created":"2024-10-07T11:48:43Z","citation":{"apa":"Lukin, A., Rispoli, M., Schittko, R., Tai, M. E., Kaufman, A. M., Choi, S., … Greiner, M. (2019). Probing entanglement in a many-body–localized system. <i>Science</i>. American Association for the Advancement of Science. <a href=\"https://doi.org/10.1126/science.aau0818\">https://doi.org/10.1126/science.aau0818</a>","ama":"Lukin A, Rispoli M, Schittko R, et al. Probing entanglement in a many-body–localized system. <i>Science</i>. 2019;364(6437):256-260. doi:<a href=\"https://doi.org/10.1126/science.aau0818\">10.1126/science.aau0818</a>","chicago":"Lukin, Alexander, Matthew Rispoli, Robert Schittko, M. Eric Tai, Adam M. Kaufman, Soonwon Choi, Vedika Khemani, Julian Leonard, and Markus Greiner. “Probing Entanglement in a Many-Body–Localized System.” <i>Science</i>. American Association for the Advancement of Science, 2019. <a href=\"https://doi.org/10.1126/science.aau0818\">https://doi.org/10.1126/science.aau0818</a>.","mla":"Lukin, Alexander, et al. “Probing Entanglement in a Many-Body–Localized System.” <i>Science</i>, vol. 364, no. 6437, American Association for the Advancement of Science, 2019, pp. 256–60, doi:<a href=\"https://doi.org/10.1126/science.aau0818\">10.1126/science.aau0818</a>.","ista":"Lukin A, Rispoli M, Schittko R, Tai ME, Kaufman AM, Choi S, Khemani V, Leonard J, Greiner M. 2019. Probing entanglement in a many-body–localized system. Science. 364(6437), 256–260.","ieee":"A. Lukin <i>et al.</i>, “Probing entanglement in a many-body–localized system,” <i>Science</i>, vol. 364, no. 6437. American Association for the Advancement of Science, pp. 256–260, 2019.","short":"A. Lukin, M. Rispoli, R. Schittko, M.E. Tai, A.M. Kaufman, S. Choi, V. Khemani, J. Leonard, M. Greiner, Science 364 (2019) 256–260."},"language":[{"iso":"eng"}],"article_processing_charge":"No","publication_status":"published","intvolume":"       364","date_updated":"2024-10-08T09:28:42Z","type":"journal_article","page":"256-260","_id":"18196","issue":"6437","external_id":{"arxiv":["1805.09819"]},"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","title":"Probing entanglement in a many-body–localized system","publication_identifier":{"eissn":["1095-9203"],"issn":["0036-8075"]},"quality_controlled":"1","status":"public","extern":"1","abstract":[{"lang":"eng","text":"An interacting quantum system that is subject to disorder may cease to thermalize owing to localization of its constituents, thereby marking the breakdown of thermodynamics. The key to understanding this phenomenon lies in the system’s entanglement, which is experimentally challenging to measure. We realize such a many-body–localized system in a disordered Bose-Hubbard chain and characterize its entanglement properties through particle fluctuations and correlations. We observe that the particles become localized, suppressing transport and preventing the thermalization of subsystems. Notably, we measure the development of nonlocal correlations, whose evolution is consistent with a logarithmic growth of entanglement entropy, the hallmark of many-body localization. Our work experimentally establishes many-body localization as a qualitatively distinct phenomenon from localization in noninteracting, disordered systems."}],"main_file_link":[{"url":"https://doi.org/10.48550/arXiv.1805.09819","open_access":"1"}],"publication":"Science","oa":1,"day":"19","arxiv":1,"publisher":"American Association for the Advancement of Science","article_type":"original","scopus_import":"1","volume":364,"oa_version":"Preprint","doi":"10.1126/science.aau0818","author":[{"last_name":"Lukin","first_name":"Alexander","full_name":"Lukin, Alexander"},{"full_name":"Rispoli, Matthew","last_name":"Rispoli","first_name":"Matthew"},{"first_name":"Robert","last_name":"Schittko","full_name":"Schittko, Robert"},{"full_name":"Tai, M. Eric","last_name":"Tai","first_name":"M. Eric"},{"first_name":"Adam M.","last_name":"Kaufman","full_name":"Kaufman, Adam M."},{"first_name":"Soonwon","last_name":"Choi","full_name":"Choi, Soonwon"},{"last_name":"Khemani","first_name":"Vedika","full_name":"Khemani, Vedika"},{"full_name":"Leonard, Julian","first_name":"Julian","id":"b75b3f45-7995-11ef-9bfd-9a9cd02c3577","last_name":"Leonard"},{"last_name":"Greiner","first_name":"Markus","full_name":"Greiner, Markus"}],"month":"04"},{"date_updated":"2024-10-07T12:15:41Z","intvolume":"        17","type":"journal_article","date_published":"2018-08-01T00:00:00Z","year":"2018","date_created":"2024-10-07T11:48:59Z","article_processing_charge":"No","citation":{"mla":"Morales, Andrea, et al. “Coupling Two Order Parameters in a Quantum Gas.” <i>Nature Materials</i>, vol. 17, no. 8, Springer Nature, 2018, pp. 686–90, doi:<a href=\"https://doi.org/10.1038/s41563-018-0118-1\">10.1038/s41563-018-0118-1</a>.","ista":"Morales A, Zupancic P, Leonard J, Esslinger T, Donner T. 2018. Coupling two order parameters in a quantum gas. Nature Materials. 17(8), 686–690.","apa":"Morales, A., Zupancic, P., Leonard, J., Esslinger, T., &#38; Donner, T. (2018). Coupling two order parameters in a quantum gas. <i>Nature Materials</i>. Springer Nature. <a href=\"https://doi.org/10.1038/s41563-018-0118-1\">https://doi.org/10.1038/s41563-018-0118-1</a>","chicago":"Morales, Andrea, Philip Zupancic, Julian Leonard, Tilman Esslinger, and Tobias Donner. “Coupling Two Order Parameters in a Quantum Gas.” <i>Nature Materials</i>. Springer Nature, 2018. <a href=\"https://doi.org/10.1038/s41563-018-0118-1\">https://doi.org/10.1038/s41563-018-0118-1</a>.","ama":"Morales A, Zupancic P, Leonard J, Esslinger T, Donner T. Coupling two order parameters in a quantum gas. <i>Nature Materials</i>. 2018;17(8):686-690. doi:<a href=\"https://doi.org/10.1038/s41563-018-0118-1\">10.1038/s41563-018-0118-1</a>","ieee":"A. Morales, P. Zupancic, J. Leonard, T. Esslinger, and T. Donner, “Coupling two order parameters in a quantum gas,” <i>Nature Materials</i>, vol. 17, no. 8. Springer Nature, pp. 686–690, 2018.","short":"A. Morales, P. Zupancic, J. Leonard, T. Esslinger, T. Donner, Nature Materials 17 (2018) 686–690."},"language":[{"iso":"eng"}],"publication_status":"published","page":"686-690","_id":"18197","external_id":{"arxiv":["1711.07988"]},"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","issue":"8","publication_identifier":{"eissn":["1476-4660"],"issn":["1476-1122"]},"title":"Coupling two order parameters in a quantum gas","quality_controlled":"1","extern":"1","abstract":[{"text":"Controlling matter to simultaneously support coupled properties is of fundamental and technological importance1 (for example, in multiferroics2,3,4,5 or high-temperature superconductors6,7,8,9). However, determining the microscopic mechanisms responsible for the simultaneous presence of different orders is difficult, making it hard to predict material phenomenology10,11 or modify properties12,13,14,15,16. Here, using a quantum gas to engineer an adjustable interaction at the microscopic level, we demonstrate scenarios of competition, coexistence and mutual enhancement of two orders. For the enhancement scenario, the presence of one order lowers the critical point of the other. Our system is realized by a Bose–Einstein condensate that can undergo self-organization phase transitions in two optical resonators17, resulting in two distinct crystalline density orders. We characterize the coupling between these orders by measuring the composite order parameter and the elementary excitations and explain our results with a mean-field free-energy model derived from a microscopic Hamiltonian. Our system is ideally suited to explore quantum tricritical points18 and can be extended to study the interplay of spin and density orders19 as a function of temperature20.","lang":"eng"}],"main_file_link":[{"url":"https://doi.org/10.48550/arXiv.1711.07988","open_access":"1"}],"status":"public","publisher":"Springer Nature","publication":"Nature Materials","oa":1,"day":"01","arxiv":1,"doi":"10.1038/s41563-018-0118-1","author":[{"first_name":"Andrea","last_name":"Morales","full_name":"Morales, Andrea"},{"last_name":"Zupancic","first_name":"Philip","full_name":"Zupancic, Philip"},{"last_name":"Leonard","first_name":"Julian","id":"b75b3f45-7995-11ef-9bfd-9a9cd02c3577","full_name":"Leonard, Julian"},{"full_name":"Esslinger, Tilman","first_name":"Tilman","last_name":"Esslinger"},{"full_name":"Donner, Tobias","first_name":"Tobias","last_name":"Donner"}],"month":"08","volume":17,"scopus_import":"1","article_type":"letter_note","oa_version":"Preprint"},{"publication_identifier":{"eissn":["1095-9203"],"issn":["0036-8075"]},"title":"Monitoring and manipulating Higgs and Goldstone modes in a supersolid quantum gas","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","external_id":{"pmid":["29242343"]},"issue":"6369","page":"1415-1418","_id":"18198","type":"journal_article","date_updated":"2024-10-07T12:12:46Z","intvolume":"       358","year":"2017","date_created":"2024-10-07T11:49:27Z","date_published":"2017-12-15T00:00:00Z","publication_status":"published","article_processing_charge":"No","language":[{"iso":"eng"}],"citation":{"mla":"Leonard, Julian, et al. “Monitoring and Manipulating Higgs and Goldstone Modes in a Supersolid Quantum Gas.” <i>Science</i>, vol. 358, no. 6369, American Association for the Advancement of Science, 2017, pp. 1415–18, doi:<a href=\"https://doi.org/10.1126/science.aan2608\">10.1126/science.aan2608</a>.","ista":"Leonard J, Morales A, Zupancic P, Donner T, Esslinger T. 2017. Monitoring and manipulating Higgs and Goldstone modes in a supersolid quantum gas. Science. 358(6369), 1415–1418.","apa":"Leonard, J., Morales, A., Zupancic, P., Donner, T., &#38; Esslinger, T. (2017). Monitoring and manipulating Higgs and Goldstone modes in a supersolid quantum gas. <i>Science</i>. American Association for the Advancement of Science. <a href=\"https://doi.org/10.1126/science.aan2608\">https://doi.org/10.1126/science.aan2608</a>","chicago":"Leonard, Julian, Andrea Morales, Philip Zupancic, Tobias Donner, and Tilman Esslinger. “Monitoring and Manipulating Higgs and Goldstone Modes in a Supersolid Quantum Gas.” <i>Science</i>. American Association for the Advancement of Science, 2017. <a href=\"https://doi.org/10.1126/science.aan2608\">https://doi.org/10.1126/science.aan2608</a>.","ama":"Leonard J, Morales A, Zupancic P, Donner T, Esslinger T. Monitoring and manipulating Higgs and Goldstone modes in a supersolid quantum gas. <i>Science</i>. 2017;358(6369):1415-1418. doi:<a href=\"https://doi.org/10.1126/science.aan2608\">10.1126/science.aan2608</a>","ieee":"J. Leonard, A. Morales, P. Zupancic, T. Donner, and T. Esslinger, “Monitoring and manipulating Higgs and Goldstone modes in a supersolid quantum gas,” <i>Science</i>, vol. 358, no. 6369. American Association for the Advancement of Science, pp. 1415–1418, 2017.","short":"J. Leonard, A. Morales, P. Zupancic, T. Donner, T. Esslinger, Science 358 (2017) 1415–1418."},"author":[{"first_name":"Julian","id":"b75b3f45-7995-11ef-9bfd-9a9cd02c3577","last_name":"Leonard","full_name":"Leonard, Julian"},{"last_name":"Morales","first_name":"Andrea","full_name":"Morales, Andrea"},{"full_name":"Zupancic, Philip","last_name":"Zupancic","first_name":"Philip"},{"full_name":"Donner, Tobias","first_name":"Tobias","last_name":"Donner"},{"full_name":"Esslinger, Tilman","last_name":"Esslinger","first_name":"Tilman"}],"doi":"10.1126/science.aan2608","month":"12","scopus_import":"1","article_type":"letter_note","volume":358,"pmid":1,"oa_version":"None","publisher":"American Association for the Advancement of Science","day":"15","publication":"Science","extern":"1","abstract":[{"text":"Higgs and Goldstone modes are collective excitations of the amplitude and phase of an order parameter that is related to the breaking of a continuous symmetry. We directly studied these modes in a supersolid quantum gas created by coupling a Bose-Einstein condensate to two optical cavities, whose field amplitudes form the real and imaginary parts of a U(1)-symmetric order parameter. Monitoring the cavity fields in real time allowed us to observe the dynamics of the associated Higgs and Goldstone modes and revealed their amplitude and phase nature. We used a spectroscopic method to measure their frequencies, and we gave a tunable mass to the Goldstone mode by exploring the crossover between continuous and discrete symmetry. Our experiments link spectroscopic measurements to the theoretical concept of Higgs and Goldstone modes.","lang":"eng"}],"status":"public","quality_controlled":"1"},{"day":"02","issue":"7643","publication":"Nature","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","publisher":"Springer Science and Business Media LLC","title":"Supersolid formation in a quantum gas breaking a continuous translational symmetry","oa_version":"None","scopus_import":"1","article_type":"letter_note","volume":543,"publication_identifier":{"issn":["0028-0836","1476-4687"]},"month":"03","author":[{"full_name":"Leonard, Julian","last_name":"Leonard","id":"b75b3f45-7995-11ef-9bfd-9a9cd02c3577","first_name":"Julian"},{"full_name":"Morales, Andrea","first_name":"Andrea","last_name":"Morales"},{"full_name":"Zupancic, Philip","first_name":"Philip","last_name":"Zupancic"},{"first_name":"Tilman","last_name":"Esslinger","full_name":"Esslinger, Tilman"},{"full_name":"Donner, Tobias","last_name":"Donner","first_name":"Tobias"}],"doi":"10.1038/nature21067","publication_status":"published","citation":{"ieee":"J. Leonard, A. Morales, P. Zupancic, T. Esslinger, and T. Donner, “Supersolid formation in a quantum gas breaking a continuous translational symmetry,” <i>Nature</i>, vol. 543, no. 7643. Springer Science and Business Media LLC, pp. 87–90, 2017.","short":"J. Leonard, A. Morales, P. Zupancic, T. Esslinger, T. Donner, Nature 543 (2017) 87–90.","mla":"Leonard, Julian, et al. “Supersolid Formation in a Quantum Gas Breaking a Continuous Translational Symmetry.” <i>Nature</i>, vol. 543, no. 7643, Springer Science and Business Media LLC, 2017, pp. 87–90, doi:<a href=\"https://doi.org/10.1038/nature21067\">10.1038/nature21067</a>.","ista":"Leonard J, Morales A, Zupancic P, Esslinger T, Donner T. 2017. Supersolid formation in a quantum gas breaking a continuous translational symmetry. Nature. 543(7643), 87–90.","apa":"Leonard, J., Morales, A., Zupancic, P., Esslinger, T., &#38; Donner, T. (2017). Supersolid formation in a quantum gas breaking a continuous translational symmetry. <i>Nature</i>. Springer Science and Business Media LLC. <a href=\"https://doi.org/10.1038/nature21067\">https://doi.org/10.1038/nature21067</a>","chicago":"Leonard, Julian, Andrea Morales, Philip Zupancic, Tilman Esslinger, and Tobias Donner. “Supersolid Formation in a Quantum Gas Breaking a Continuous Translational Symmetry.” <i>Nature</i>. Springer Science and Business Media LLC, 2017. <a href=\"https://doi.org/10.1038/nature21067\">https://doi.org/10.1038/nature21067</a>.","ama":"Leonard J, Morales A, Zupancic P, Esslinger T, Donner T. Supersolid formation in a quantum gas breaking a continuous translational symmetry. <i>Nature</i>. 2017;543(7643):87-90. doi:<a href=\"https://doi.org/10.1038/nature21067\">10.1038/nature21067</a>"},"language":[{"iso":"eng"}],"article_processing_charge":"No","date_created":"2024-10-07T11:49:44Z","year":"2017","date_published":"2017-03-02T00:00:00Z","type":"journal_article","date_updated":"2024-10-07T12:09:33Z","quality_controlled":"1","intvolume":"       543","_id":"18199","status":"public","page":"87-90","abstract":[{"text":"The concept of a supersolid state combines the crystallization of a many-body system with dissipationless flow of the atoms from which it is built. This quantum phase requires the breaking of two continuous symmetries: the phase invariance of a superfluid and the continuous translational invariance to form the crystal1,2. Despite having been proposed for helium almost 50 years ago3,4, experimental verification of supersolidity remains elusive5,6. A variant with only discrete translational symmetry breaking on a preimposed lattice structure—the ‘lattice supersolid’7—has been realized, based on self-organization of a Bose–Einstein condensate8,9. However, lattice supersolids do not feature the continuous ground-state degeneracy that characterizes the supersolid state as originally proposed. Here we report the realization of a supersolid with continuous translational symmetry breaking along one direction in a quantum gas. The continuous symmetry that is broken emerges from two discrete spatial symmetries by symmetrically coupling a Bose–Einstein condensate to the modes of two optical cavities. We establish the phase coherence of the supersolid and find a high ground-state degeneracy by measuring the crystal position over many realizations through the light fields that leak from the cavities. These light fields are also used to monitor the position fluctuations in real time. Our concept provides a route to creating and studying glassy many-body systems with controllably lifted ground-state degeneracies, such as supersolids in the presence of disorder.","lang":"eng"}],"extern":"1"},{"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","issue":"9","publication_identifier":{"issn":["1367-2630"]},"title":"Optical transport and manipulation of an ultracold atomic cloud using focus-tunable lenses","date_updated":"2024-10-07T12:07:48Z","intvolume":"        16","type":"journal_article","date_published":"2014-09-23T00:00:00Z","year":"2014","date_created":"2024-10-07T11:50:00Z","citation":{"ieee":"J. Leonard, M. Lee, A. Morales, T. M. Karg, T. Esslinger, and T. Donner, “Optical transport and manipulation of an ultracold atomic cloud using focus-tunable lenses,” <i>New Journal of Physics</i>, vol. 16, no. 9. IOP Publishing, 2014.","short":"J. Leonard, M. Lee, A. Morales, T.M. Karg, T. Esslinger, T. Donner, New Journal of Physics 16 (2014).","apa":"Leonard, J., Lee, M., Morales, A., Karg, T. M., Esslinger, T., &#38; Donner, T. (2014). Optical transport and manipulation of an ultracold atomic cloud using focus-tunable lenses. <i>New Journal of Physics</i>. IOP Publishing. <a href=\"https://doi.org/10.1088/1367-2630/16/9/093028\">https://doi.org/10.1088/1367-2630/16/9/093028</a>","chicago":"Leonard, Julian, Moonjoo Lee, Andrea Morales, Thomas M Karg, Tilman Esslinger, and Tobias Donner. “Optical Transport and Manipulation of an Ultracold Atomic Cloud Using Focus-Tunable Lenses.” <i>New Journal of Physics</i>. IOP Publishing, 2014. <a href=\"https://doi.org/10.1088/1367-2630/16/9/093028\">https://doi.org/10.1088/1367-2630/16/9/093028</a>.","ama":"Leonard J, Lee M, Morales A, Karg TM, Esslinger T, Donner T. Optical transport and manipulation of an ultracold atomic cloud using focus-tunable lenses. <i>New Journal of Physics</i>. 2014;16(9). doi:<a href=\"https://doi.org/10.1088/1367-2630/16/9/093028\">10.1088/1367-2630/16/9/093028</a>","mla":"Leonard, Julian, et al. “Optical Transport and Manipulation of an Ultracold Atomic Cloud Using Focus-Tunable Lenses.” <i>New Journal of Physics</i>, vol. 16, no. 9, 093028, IOP Publishing, 2014, doi:<a href=\"https://doi.org/10.1088/1367-2630/16/9/093028\">10.1088/1367-2630/16/9/093028</a>.","ista":"Leonard J, Lee M, Morales A, Karg TM, Esslinger T, Donner T. 2014. Optical transport and manipulation of an ultracold atomic cloud using focus-tunable lenses. New Journal of Physics. 16(9), 093028."},"language":[{"iso":"eng"}],"article_processing_charge":"Yes","publication_status":"published","_id":"18200","publisher":"IOP Publishing","publication":"New Journal of Physics","oa":1,"day":"23","author":[{"full_name":"Leonard, Julian","first_name":"Julian","id":"b75b3f45-7995-11ef-9bfd-9a9cd02c3577","last_name":"Leonard"},{"full_name":"Lee, Moonjoo","first_name":"Moonjoo","last_name":"Lee"},{"first_name":"Andrea","last_name":"Morales","full_name":"Morales, Andrea"},{"first_name":"Thomas M","last_name":"Karg","full_name":"Karg, Thomas M"},{"first_name":"Tilman","last_name":"Esslinger","full_name":"Esslinger, Tilman"},{"last_name":"Donner","first_name":"Tobias","full_name":"Donner, Tobias"}],"doi":"10.1088/1367-2630/16/9/093028","month":"09","volume":16,"article_type":"original","scopus_import":"1","oa_version":"Published Version","quality_controlled":"1","extern":"1","article_number":"093028","main_file_link":[{"open_access":"1","url":"https://doi.org/10.1088/1367-2630/16/9/093028"}],"abstract":[{"text":"We present an optical setup with focus-tunable lenses to dynamically control the waist and focus position of a laser beam, in which we transport a trapped ultracold cloud of 87Rb over a distance of \r\n. The scheme allows us to shift the focus position at constant waist, providing uniform trapping conditions over the full transport length. The fraction of atoms that are transported over the entire distance comes near to unity, while the heating of the cloud is in the range of a few microkelvin. We characterize the position stability of the focus and show that residual drift rates in focus position can be compensated for by counteracting with the tunable lenses. Beyond being a compact and robust scheme to transport ultracold atoms, the reported control of laser beams makes dynamic tailoring of trapping potentials possible. As an example, we steer the size of the atomic cloud by changing the waist size of the dipole beam.","lang":"eng"}],"status":"public"},{"year":"2012","date_created":"2024-10-07T11:50:19Z","date_published":"2012-07-29T00:00:00Z","publication_status":"published","language":[{"iso":"eng"}],"citation":{"mla":"Desbuquois, Rémi, et al. “Superfluid Behaviour of a Two-Dimensional Bose Gas.” <i>Nature Physics</i>, vol. 8, no. 9, Springer Nature, 2012, pp. 645–48, doi:<a href=\"https://doi.org/10.1038/nphys2378\">10.1038/nphys2378</a>.","ista":"Desbuquois R, Chomaz L, Yefsah T, Leonard J, Beugnon J, Weitenberg C, Dalibard J. 2012. Superfluid behaviour of a two-dimensional Bose gas. Nature Physics. 8(9), 645–648.","apa":"Desbuquois, R., Chomaz, L., Yefsah, T., Leonard, J., Beugnon, J., Weitenberg, C., &#38; Dalibard, J. (2012). Superfluid behaviour of a two-dimensional Bose gas. <i>Nature Physics</i>. Springer Nature. <a href=\"https://doi.org/10.1038/nphys2378\">https://doi.org/10.1038/nphys2378</a>","ama":"Desbuquois R, Chomaz L, Yefsah T, et al. Superfluid behaviour of a two-dimensional Bose gas. <i>Nature Physics</i>. 2012;8(9):645-648. doi:<a href=\"https://doi.org/10.1038/nphys2378\">10.1038/nphys2378</a>","chicago":"Desbuquois, Rémi, Lauriane Chomaz, Tarik Yefsah, Julian Leonard, Jérôme Beugnon, Christof Weitenberg, and Jean Dalibard. “Superfluid Behaviour of a Two-Dimensional Bose Gas.” <i>Nature Physics</i>. Springer Nature, 2012. <a href=\"https://doi.org/10.1038/nphys2378\">https://doi.org/10.1038/nphys2378</a>.","short":"R. Desbuquois, L. Chomaz, T. Yefsah, J. Leonard, J. Beugnon, C. Weitenberg, J. Dalibard, Nature Physics 8 (2012) 645–648.","ieee":"R. Desbuquois <i>et al.</i>, “Superfluid behaviour of a two-dimensional Bose gas,” <i>Nature Physics</i>, vol. 8, no. 9. Springer Nature, pp. 645–648, 2012."},"article_processing_charge":"No","type":"journal_article","date_updated":"2024-10-07T12:05:22Z","intvolume":"         8","page":"645-648","_id":"18201","issue":"9","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","external_id":{"arxiv":["1205.4536"]},"title":"Superfluid behaviour of a two-dimensional Bose gas","publication_identifier":{"issn":["1745-2473"],"eissn":["1745-2481"]},"quality_controlled":"1","status":"public","extern":"1","main_file_link":[{"url":"https://arxiv.org/abs/1205.4536","open_access":"1"}],"abstract":[{"lang":"eng","text":"Owing to thermal fluctuations, two-dimensional (2D) systems cannot undergo a conventional phase transition associated with the breaking of a continuous symmetry1. Nevertheless they may exhibit a phase transition to a state with quasi-long-range order via the Berezinskii–Kosterlitz–Thouless (BKT) mechanism2. A paradigm example is the 2D Bose fluid, such as a liquid helium film3, which cannot condense at non-zero temperature although it becomes superfluid above a critical phase space density. The quasi-long-range coherence and the microscopic nature of the BKT transition were recently explored with ultracold atomic gases4,5,6. However, a direct observation of superfluidity in terms of frictionless flow is still missing for these systems. Here we probe the superfluidity of a 2D trapped Bose gas using a moving obstacle formed by a micrometre-sized laser beam. We find a dramatic variation of the response of the fluid, depending on its degree of degeneracy at the obstacle location."}],"day":"29","oa":1,"publication":"Nature Physics","arxiv":1,"publisher":"Springer Nature","scopus_import":"1","article_type":"letter_note","volume":8,"oa_version":"Preprint","author":[{"full_name":"Desbuquois, Rémi","last_name":"Desbuquois","first_name":"Rémi"},{"full_name":"Chomaz, Lauriane","first_name":"Lauriane","last_name":"Chomaz"},{"full_name":"Yefsah, Tarik","last_name":"Yefsah","first_name":"Tarik"},{"full_name":"Leonard, Julian","last_name":"Leonard","first_name":"Julian","id":"b75b3f45-7995-11ef-9bfd-9a9cd02c3577"},{"full_name":"Beugnon, Jérôme","first_name":"Jérôme","last_name":"Beugnon"},{"full_name":"Weitenberg, Christof","last_name":"Weitenberg","first_name":"Christof"},{"full_name":"Dalibard, Jean","first_name":"Jean","last_name":"Dalibard"}],"doi":"10.1038/nphys2378","month":"07"}]